Question

4. Verify that a ÷ (b +c) # (a ÷ b)+ (a ÷ c) for
(i) a = -10, b = 1 and ca = 1
(ii) a = 12, b = 1 and c = -2

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Answer 1

(i) a ÷ (b +c) # (a ÷ b)+ (a ÷ c)

let's take a÷(b+c) as LHS

And (a÷b)+(a÷c) as RHS

First we will do LHS

a÷(b+c)

= -10÷(1+1)

= -10÷2

= -5

RHS

(a÷b)+(a÷c)

=(-10÷1)+(-10÷1)

= -10+(-10)

= -10-10

= -20

Here, -5 # -20

Therefore, it's proof that a ÷ (b +c) # (a ÷ b)+ (a ÷ c)

(ii) a ÷ (b +c) # (a ÷ b)+ (a ÷ c)

LHS

a÷(b+c)

=12÷(1+(-2))

=12÷(1-2)

=12÷ -1

= -12

RHS

(a÷b)+(a÷c)

= (12÷1)+(12÷(-2))

= 12+ -6

= 12-6

= 6

Here, -12 # 6

Therefore, it's proof that a ÷ (b +c) # (a ÷ b)+ (a ÷ c)

HOPE IT CLEAR YOU